Question

In: Statistics and Probability

1. Energy bars produced by a certain machine are labeled 24 grams to comply with advertising...

1. Energy bars produced by a certain machine are labeled 24 grams to comply with advertising rules and regulations. However, the distribution of the actual weight of these energy bars is claimed to be normal with a mean of 24.3 grams and a standard deviation of 0.3 grams. Note: You must show all your work for full marks.

a) Define the random variable x.

b) What percentage of energy bars produced by this machine would be expected to be between 24 and 24.6 grams? b) What percentage of energy bars produced by this machine would be expected to be more than 24.6 grams?

c) How much weight of these energy bars exceeded by only 10% of all energy bars?

d) If the quality control manager takes a random sample of nine energy bars from the production line,

i. identify the sampling distribution of mean of x.

ii. what is the probability that the sample mean weight of the nine sample energy bars will be less than 24 grams?

iii. What is the probability that the sample mean weight of the nine sample energy bars will be exceed 24.6 grams?

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orchestra answered 2 years ago
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